At Sports Day, 2/3 of the 24 athletes are running relay races. The PE teacher wants to express 2/3 as an equivalent fraction with 12 as the denominator. What is the equivalent fraction?
Show Worked Solution
Worked Solution
Step 1: The target denominator is 12. Find the scaling factor: 12 ÷ 3 = 4.
Step 2: Multiply both numerator and denominator by 4: (2×4) / (3×4) = 8/12.
Step 3: Verify: 8 ÷ 4 = 2 and 12 ÷ 4 = 3, so 8/12 = 2/3. ✓
Final: The equivalent fraction is 8/12.
Correct answer: 8/12
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